Strong convergence theorem of common elements for variational inequality solution set and the set of common fixed point for a finite family of semi-contractive mappings
An inertial viscous iterative algorithm is constructed for the common elements of variational inequality problems and fixed point problems. Under appropriate assumptions, it is proved that the iterative sequence generated by the constructed algorithm strongly converges to the common elements of the solution set of pseudo-monotone variational inequalities and the common fixed point set of a finite family of semi-contractive mappings by using demi-closed at zero,projection operator and other analysis techniques. Numerical experiments illustrate the effectiveness of the algorithm. The study of this paper improves and extends some recent relative results.
Xinghui GAO,Mengkai FANG,Yuerong GUO,Yongjie WNAG. Strong convergence theorem of common elements for variational inequality solution set and the set of common fixed point for a finite family of semi-contractive mappings. Journal of Zhejiang University (Science Edition), 2024, 51(3): 292-298.
Fig.1 Relationship between error value and iterative steps in example 1
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